Suzuki tweeted that he wants to fight both men, while speaking to the yearning of fans worldwide, adding, "The world's professional wrestling fans want to see this. The world is waiting."
In a follow-up tweet, Suzuki intoned, "Don't give a wrong answer ... New Japan pro wrestling! Listen to the voices of the world!"
Moxley most recently made his debut for New Japan Pro Wrestling, defeating Juice Robinson on the final night of the Best of the Super Juniors to capture the United States title.
Jericho, meanwhile, challenges for Kazuchika Okada's IWGP Heavyweight title at Dominion in Osaka on Sunday. On the same card, Moxley will wrestle Shota Umino. As for Suzuki, he and Zack Sabre Jr take on Jushin "Thunder" Liger and Yoshi-Hashi.